SOLUTION: Find the most general antiderivative of each function. a.) f(x)=20x^3+12x^2+4 b.) g(x)=3x^4-x^3+6x^2/x^4 c.) h(t)=e^x+sinx+14(5root(x^2))

Question 819248: Find the most general antiderivative of each function.
a.) f(x)=20x^3+12x^2+4
b.) g(x)=3x^4-x^3+6x^2/x^4
c.) h(t)=e^x+sinx+14(5root(x^2))
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The phrase "most general" must mean that you need to add a constant.

a.) The derivative of is ,
but the derivative of where the constant represents any number is too.

b.) You wrote g(x)=3x^4-x^3+6x^2/x^4=
The antiderivative of that would be

However, if you meant g'(x)=(3x^4-x^3+6x^2)/x^4= ,
the antiderivative is

c.) If you meant h(x)=,
The antiderivative of that function can be calculated as

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